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Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation
Finster, Felix and Smoller, Joel (2013) Refined error estimates for the Riccati equation with applications to the angular Teukolsky equation. Preprintreihe der Fakultät Mathematik 14/2013, Working Paper.Date of publication of this fulltext: 14 Oct 2013 08:18
Monograph
DOI to cite this document: 10.5283/epub.28913
Abstract
We derive refined rigorous error estimates for approximate solutions of
Sturm-Liouville and Riccati equations with real or complex potentials. The approxi-
mate solutions include WKB approximations, Airy and parabolic cylinder functions,
and certain Bessel functions. Our estimates are applied to solutions of the angular
Teukolsky equation with a complex aspherical parameter in a rotating black hole
Kerr geometry.
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 14/2013 |
| Date | 2013 |
| Institutions | Mathematics > Prof. Dr. Felix Finster |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unknown |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-289137 |
| Item ID | 28913 |
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